Document Zbl 1447.57008 - zbMATH Open
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A multiple group rack and oriented spatial surfaces. (English) Zbl 1447.57008
Summary: A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several typical examples of spatial surfaces and construct a coloring invariant to distinguish them. The coloring is defined by using a multiple group rack, which is a rack version of a multiple conjugation quandle.
MSC:
| 57K12 | Generalized knots (virtual knots, welded knots, quandles, etc.) |
| 57K10 | Knot theory |
| 57K45 | Higher-dimensional knots and links |
References:
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| [9] | S. Matsuzaki, A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere, preprint (2019), arXiv:1905.03159. |
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